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Woods Hole Oceanographic Institution

Hal Caswell

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Projects
» In general ...

» Perturbation analysis

» Two-sex models

» Perturbation analysis of longevity

» Conservation demography

» Climate change

» Biodemography of C. elegans

» Stage-structured epidemics


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Perturbation analysis: sensitivity and elasticity in demography, Markov chains, and elsewhere

The results of any model always depend on the values of one or more parameters. Perturbation analysis examines the change in results that follows from a change in parameters.  In demography, results are commonly expressed as sensitivities (the derivative of result y with respect to parameter x) or elasticities (the derivative of log y with respect to log x).  I am actively working on extensions of perturbation analyses in
  • matrix population models, including LTRE analysis for stochastic models, nonlinear matrix models for harvested populations and two-sex models, and other applications
  • spatial models for invading populations
  • models for stage-structured epidemics
  • absorbing and ergodic Markov chains

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